On the smoothness of a solution of the first boundary-value problem for second-order degenerate elliptic-parabolic equations

• Datum: 2008
• Hauptverfasser: Gadjiev, T. S., Gasimova, E. R., Гаджиїв, Т. С., Газимова, Є. Р.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3192
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In this work, the first boundary-value problem is considered for second-order degenerate elliptic-parabolic equation with, generally speaking, discontinuous coefficients. The matrix of senior coefficients satisfies the parabolic Cordes condition with respect to space variables. We prove that the g...